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On The Solvability Of Maximum Entropy Moment Problems In Texture Analysis

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2012

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Mathematical Models and Methods in Applied Sciences. 2012, 22(12), 1250043. ISSN 0218-2025. Available under: doi: 10.1142/S0218202512500431

Zusammenfassung

The estimation of the crystallite orientation distribution function based on the leading texture coefficients can be rephrased as a maximum entropy moment problem. In this paper, we prove the solvability of these moment problems under quite general assumptions on the moment functions which carries over to general locally compact and σ-compact Hausdorff topological groups.

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510 Mathematik

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Maximum entropy, moment problem, pseudo-Haar property, locally compact groups, texture analysis

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ISO 690JUNK, Michael, Johannes BUDDAY, Thomas BÖHLKE, 2012. On The Solvability Of Maximum Entropy Moment Problems In Texture Analysis. In: Mathematical Models and Methods in Applied Sciences. 2012, 22(12), 1250043. ISSN 0218-2025. Available under: doi: 10.1142/S0218202512500431
BibTex
@article{Junk2012Solva-23248,
  year={2012},
  doi={10.1142/S0218202512500431},
  title={On The Solvability Of Maximum Entropy Moment Problems In Texture Analysis},
  number={12},
  volume={22},
  issn={0218-2025},
  journal={Mathematical Models and Methods in Applied Sciences},
  author={Junk, Michael and Budday, Johannes and Böhlke, Thomas},
  note={Article Number: 1250043}
}
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